Triple Almost (λ_{m_{i}}μ_{n_{ℓ}}γ_{k_{j}}) Lacunary Riesz χ_{R_{λ_{m_{i}}μ_{n_{ℓ}}γ_{k_{j}}}}³ sequence spaces defined by Orlicz function

In this paper we introduce a new concept for generalized almost (λ_{m_{i}}μ_{n_{ℓ}}γ_{k_{j}}) convergence in χ_{R_{λ_{m_{i}}μ_{n_{ℓ}}γ_{k_{j}}}³-Riesz spaces strong P- convergent to zero with respect to an Orlicz function and examine some properties of the resulting sequence spaces. We also introduc...

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Veröffentlicht in:Boletim da Sociedade Paranaense de Matemática 2019-04, Vol.37 (2), p.129-144
Hauptverfasser: Subramanian, Nagarajan, Esi, Ayhan
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper we introduce a new concept for generalized almost (λ_{m_{i}}μ_{n_{ℓ}}γ_{k_{j}}) convergence in χ_{R_{λ_{m_{i}}μ_{n_{ℓ}}γ_{k_{j}}}³-Riesz spaces strong P- convergent to zero with respect to an Orlicz function and examine some properties of the resulting sequence spaces. We also introduce and study statistical convergence of generalized almost (λ_{m_{i}}μ_{n_{ℓ}}γ_{k_{j}}) convergence in χ_{R_{λ_{m_{i}}μ_{n_{ℓ}}γ_{k_{j}}}³-Riesz space and also some inclusion theorems are discussed.
ISSN:0037-8712
2175-1188
DOI:10.5269/bspm.v37i2.34310